Techniques in Fractal Geometry [Hardcover]

Kenneth Falconer (Author)

Book Description

Publication Date: April 28, 1997 | ISBN-10: 0471957240 | ISBN-13: 978-0471957249 | Edition: 1

Following on from the success of Fractal Geometry: Mathematical Foundations and Applications, this new sequel presents a variety of techniques in current use for studying the mathematics of fractals.

Much of the material presented in this book has come to the fore in recent years. This includes methods for studying dimensions and other parameters of fractal sets and measures, as well as more sophisticated techniques such as thermodynamic formalism and tangent measures. In addition to general theory, many examples and applications are described, in areas such as differential equations and harmonic analysis.

This book is mathematically precise, but aims to give an intuitive feel for the subject, with underlying concepts described in a clear and accessible manner. The reader is assumed to be familiar with material from Fractal Geometry, but the main ideas and notation are reviewed in the first two chapters. Each chapter ends with brief notes on the development and current state of the subject. Exercises are included to reinforce the concepts.

The author's clear style and up-to-date coverage of the subject make this book essential reading for all those who with to develop their understanding of fractal geometry.

Editorial Reviews

From the Publisher

This book addressees a variety of techniques and applications in fractal geometry. It examines such topics as implicit methods and the theory of dimensions of measures, the thermodynamic formalism, the tangent of space method and the ergodic theorem. Each chapter ends with brief notes on the development and current state of the subject. Provides a clear guide to applications and recent trends in fractal geometry. There are numerous diagrams and illustrative examples.

From the Back Cover

Techniques in Fractal Geometry Kenneth Falconer, University of St Andrews, UK Following on from the success of Fractal Geometry: Mathematical Foundations and Applications, this new sequel presents a variety of techniques in current use for studying the mathematics of fractals. Much of the material presented in this book has come to the fore in recent years. This includes methods for studying dimensions and other parameters of fractal sets and measures, as well as more sophisticated techniques such as the thermodynamic formalism and tangent measures. In addition to general theory, many examples and applications are described, in areas such as differential equations and harmonic analysis. The book is mathematically precise, but aims to give an intuitive feel for the subject, with underlying concepts described in a clear and accessible manner. The reader is assumed to be familiar with material from Fractal Geometry, but the main ideas and notation are reviewed in the first two chapters. Each chapter ends with brief notes on the development and current state of the subject. Exercises are included to reinforce the concepts. The author's clear style and the up-to-date coverage of the subject make this book essential reading for all those who wish to develop their understanding of fractal geometry. Also available: Fractal Geometry: Mathematical Foundations and Applications Hardback ISBN 0-471-92287-0 Paperback ISBN 0-471-96777-7

See all Editorial Reviews

Product Details

• Hardcover: 274 pages
• Publisher: Wiley; 1 edition (April 28, 1997)
• Language: English
• ISBN-10: 0471957240
• ISBN-13: 978-0471957249
• Product Dimensions: 9.3 x 6.2 x 0.8 inches
• Shipping Weight: 1 pounds (View shipping rates and policies)
• Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
• Amazon Best Sellers Rank: #2,594,736 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

3 of 5 people found the following review helpful:

5.0 out of 5 stars Maybe this book is advanced version of "Fractal Geometry", May 10, 2000

By 

Takayuki Tatekawa (Tokyo, Japan) - See all my reviews

This review is from: Techniques in Fractal Geometry (Hardcover)

I had read "Fractal Geometry" in last year. Then I purchase this book. It seems advanced version of "Fractal Geometry". In this book, some applications of fractal for science and engineering. For example, thermodynamic formalism, ergodic theorem, multifractal analysis, differential equations, and so on. I think that this book will become good textbook for scientist and engineer who apply fractal geometry for their field.

1 of 3 people found the following review helpful:

4.0 out of 5 stars Dimension of fractal objects, June 22, 2000

By 

Massimiliano Celaschi (Graffignano, Viterbo Italy) - See all my reviews

This review is from: Techniques in Fractal Geometry (Hardcover)

A suitable book to remove any doubt about calculation of dimension of fractal objects. I enjoyed the chapter about ergodic theorem.